Solution Sets for Systems of Equations
A system of two linear equations can have no points in common (parallel); one point at which they intersect, or an infinite number of solutions.
Practical Problem: Ingredients for Small and Large Pizzas
Solve a practical problem involving making pizzas, given the ingredients available to use and how much of each ingredient is used for each pizza. The solution is demonstrated using both the elimination and the substitution methods.
Solving a Mixture Problem Using Two Variables
A word problem involving mixing a solution that needs to be 25 percent chlorine is analyzed, the unknown identified, and a two-variable system of equations written to solve the problem.
Example of Multiplying Both Equations
There is always more than one way to solve a system of equations with the elimination method. This example includes tips for deciding which term to eliminate.
Example of Using Multiplication to Change Terms
Two different ways of using multiplication in a system of equations to eliminate a variable are demonstrated.